The rate of flow outward through the hemisphere x² + y² + z² = 9, z >= 0 is zero.
Given that,
Seawater has a density of 1025 kg/m³ and moves at a constant velocity field defined by the equations v = yi + xj, where x, y, and z are measured in meters and the components of V are expressed in meters per second.
We have to find the rate of flow outward through the hemisphere x² + y² + z² = 9, z >= 0.
We know that,
v= yi + xj, and density = 1025 kg/m³
F=1025(yi + xj)
After solving the R(u,v) we get zero.
Therefore, the rate of flow outward through the hemisphere x² + y² + z² = 9, z >= 0 is zero.
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